Question

|2x-1|:|4x+3|=1
Penyelesaian?..

Answer 1

|2x - 1|:|4x + 3| = 1
|2x - 1| = |4x + 3|
(2x - 1)² = (4x + 3)²
(2x - 1)² - (4x + 3)² = 0

ingat bahwa
a² - b² = (a + b)(a - b)

maka,

(2x - 1 + 4x + 3)(2x - 1 - 4x - 3) = 0
(6x + 2)(-2x - 4) = 0

6x + 2 = 0
6x = -2
x = -2/6
x = -1/3

-2x - 4 = 0
-2x = 4
2x = -4
x = -4/2
x = -2

jadi, nilai x yang memenuhi adalah -1/3 dan -2